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SOS-based fuzzy stability analysis via homogeneous Lyapunov functions

2014 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2014
The class of polynomial fuzzy-model-based (PFMB) control systems has gained considerable attention in fuzzy control. The PFMB control system under consideration often assumes that the Lyapunov functions are quadratic, allowing use of semidefinite programming and the sum of squares (SOS) decomposition.
Ji-Chang Lo   +3 more
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Stability analysis of fuzzy control systems using facet functions

Fuzzy Sets and Systems, 1995
The authors point out that the stability and the robustness of control systems are highly desirable features that can only be demonstrated under strict conditions. One of these conditions is the existence of a known plant model. In cases when this model is available, conventional controllers are preferred, to fuzzy ones as they allow the demonstration ...
Kiendl, H., Rüger, J. J.
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Dynamic fuzzy data analysis based on similarity between functions

Fuzzy Sets and Systems, 1999
Abstract In data analysis, objects are usually represented by feature vectors, each describing a state of an object at a point of time. Most methods for data analysis use only these feature vectors and do not take into account changes over time. They can therefore be called static.
A. Joentgen   +3 more
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Quantification in Functional Magnetic Resonance Imaging: Fuzzy Clustering vs. Correlation Analysis

Magnetic Resonance Imaging, 1998
The potential of functional MRI (fMRI) data analysis using the paradigm independent fuzzy cluster analysis (FCA) applied in the time domain compared to frequently used paradigm based correlation analysis (CA) was studied with simulated and in vivo fMRI data.
R, Baumgartner   +2 more
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Describing function analysis of uncertain fuzzy vehicle control systems

Neural Computing and Applications, 2011
In this paper, some useful frequency domain methods including describing function, parameter space, and Kharitonov approach are applied to analyze the stability of an uncertain fuzzy vehicle control system for limit cycle prediction. A systematic procedure is proposed to solve this problem. The fuzzy controller can be linearized by the use of classical
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Propositions for Fuzzy Characteristic Functions in Data Analysis

1982
The author proposes a data coding technique using fuzzy characteristic functions, the construction of which depends on initial data. Application of a linear data analysis method to these coded data is (approximately) equivalent to the cor — responding non linear method applied to the initial data.
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Analysis of fuzzy -ary relations with the use of interval-valued fuzzy functional dependencies

International Journal of General Systems, 2013
Abstract The paper contains an analysis of integrity constraints for -ary relations in fuzzy databases. Apart from dependencies between all attributes there may be also dependencies describing relationships of fewer attributes. However, there is no complete arbitrariness.
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Stability Analysis of Positive Polynomial Fuzzy System by Fuzzy Co-positive Lyapunov Function

2023 2nd International Conference on Advanced Sensing, Intelligent Manufacturing (ASIM), 2023
Xiaomiao Li   +4 more
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Stability Analysis of Polynomial Fuzzy Model-Based Control Systems Using Fuzzy Polynomial Lyapunov Function

2016
This chapter proposes a fuzzy polynomial Lyapunov function candidate, which consists of a number of local sub-Lyapunov function candidates, for the stability analysis of polynomial fuzzy model-based control systems where the contribution of each local sub-Lyapunov function candidate to the overall fuzzy polynomial Lyapunov function candidate is ...
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